Parent, Composite, and Inverse Functions
Absolute Value Functions
Systems of Equations and Inequalities
Polynomial Expressions
100
The intercept(s) of the function: f(x)=x3
What is (0,0)?
100
The domain and range of f(x)=absval(x).
What are domain {all real numbers} and range [0,infinity)?
100
The system of equations to describe the situation:
Susie’s Sweet Shop sells chocolate boxes that contain three types of chocolate truffles: solid chocolate truffles, cream center chocolate truffles, and chocolate truffles with nuts. A box containing 5 of each type of truffle costs $41.25. A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles with nuts costs $68.75. A box with only 24 truffles evenly divided between solid chocolate truffles and chocolate truffles with nuts costs $66.00. If s represents the cost per solid chocolate truffle, c represents the cost per cream center chocolate truffle, and n represents the cost per chocolate truffle with nuts.
5s + 5c + 5n = 41.25
10s + 5c + 10n = 68.75
12s + 12n = 66
100
The simplified form of: (2x – 3)2 – 3.5x2(2x –5) + 6x(2.5x2 – x + 3.1)
8x3 + 15.5x2 + 6.6x + 9
200
The domain and range of: f(x)=sqrt(x)
What are domain [0,infinity) and range [0,infinity)?
200
The value of x given: 3|x – 3.5| + 7.5 = 7.5
What is 3.5?
200
The system of equations to describe the situation:
The sum of three numbers is 19. Two times the first number increased by six times the second number plus the third number is 12. The sum of three times the first number and eight times the second number, increased by the third number is –14. If the first number is represented by x, the second number is represented by y, and the third number is represented by z.
x + y + z = 19
2x + 6y + z = 12
3x + 8y + z = –14
200
The simplified form of: 2(4x2 + 3x – 2) + (
x2 –
x + 1
) – (4(1.5x2 + 0.5x – 0.25) + 0.5(4x2 + 8x –6))
4x2 – 5x + 2
300
A point that lies on the inverse function of f(x)=x2
What is: (0,0), (1,1), (4,2), (9,3), etc...
300
The vertex of the function: g(x) =
what is (-3,5)?
300
The matrix of the system of equations:
2x + z = 5y – 17.75
4x – 3y = 5z + 8.25
8x + 2z = y + 2z + 6.5
[2 -5 1 -17.75]
[4 -3 -5 8.25]
[8 -1 0 6.5]
300
The area of the corral given:
Jacob is building a corral on his ranch in the shape of a rectangle. The length of the rectangle is represented by the expression 2x2 – 5x – 3 and the width of the rectangle is represented by the expression 4x2 – 9.
A = 8x4 – 20x3 – 30x2 + 45x + 27
400
The domain and range of the parent rational function.
What are domain (-infinity,0) U (0,infinity) and range (-infinity,0) and (0,infinty)
400
The Percent error when rounding pi to 3.14.
What is 0.0507%?
400
The number of salads ordered given:
Dot’s Tea Room has three items on its lunch special: sandwiches, salads, and personal pizzas. All sandwiches are the same price; all salads are the same price; and all personal pizzas are the same price. On Monday the office ordered 5 sandwiches, 7 salads, and 3 personal pizzas for $116.00. On Wednesday the office ordered 3 sandwiches, 10 salads, and 2 personal pizzas for $114.75. On Friday the office ordered 6 sandwiches, 12 salads, and 5 personal pizzas for $177.75.
$7.50
400
The value of ?, given:
3x2 + 10x – 8
500
The composition of f(g(x)) when f(x)=x5 and g(x)=x-3
What is f(g(x))=(x-3)5?
500
The domain and range of the function: h(x) = |x + 1| – 3
What are domain {-1,infinity) and range [-3,infinity)
500
The number of Choctaw Trees planted in the orchard given:
Plentiful Pecan Orchards has two types of pecan trees in its south orchard, Choctaw and Desirable. The orchard has 250 trees and produces approximately 35,250 pounds of pecans per year.
- The Choctaw pecan trees each produce approximately 125 pounds of pecans per year.
- The Desirable pecan trees each produce approximately 150 pounds of pecans per year.
90 trees
500
The quotient of:
3x2 + x – 5